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Finding the Third Proportional to 10,435,786.88 and 22,724,236.13

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Solution

The third proportional to 10,435,786.88 and 22,724,236.13 is: 49,482,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435,786.88 : 22,724,236.13 = 22,724,236.13 : x
  2. Step 2: Convert to fraction form
    10,435,786.88/22,724,236.13 = 22,724,236.13/x
  3. Step 3: Cross multiply
    10,435,786.88x = 22,724,236.13 × 22,724,236.13
  4. Step 4: Simplify right side
    10,435,786.88x = 516,390,907,464,755
  5. Step 5: Solve for x
    x = 516,390,907,464,755/10,435,786.88
  6. Step 6: Final answer
    x = 49,482,699.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.